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Finding the Fourth Proportional to 222.26, 332.82 and 164.39

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Solution

The fourth proportional to 222.26, 332.82 and 164.39 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.26 : 332.82 = 164.39 : x
  2. Step 2: Convert to fraction form
    222.26/332.82 = 164.39/x
  3. Step 3: Cross multiply
    222.26x = 332.82 × 164.39
  4. Step 4: Simplify right side
    222.26x = 54,712.96
  5. Step 5: Solve for x
    x = 54,712.96/222.26
  6. Step 6: Final answer
    x = 246.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.